Non-Nesting Actions On Real Trees
Gilbert Levitt · Bulletin of the London Mathematical Society · 1998
The theory of isometric group actions on R-trees is extended to actions by homeomorphisms with the following non-nesting property: no group element maps an arc properly into itself. A finitely presented group acting freely by homeomorphisms on an R-tree is free abelian or splits over a (possibly trivial) cyclic group. 1991 Mathematics Subject Classification 20E08, 20F32, 57M60.